40281509761304 has 128 divisors (see below), whose sum is σ = 89907881040000. Its totient is φ = 16553653960704.

The previous prime is 40281509761289. The next prime is 40281509761327. The reversal of 40281509761304 is 40316790518204.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292229862 + ... + 2292247434.

It is an arithmetic number, because the mean of its divisors is an integer number (702405320625).

It is a 1-persistent number, because it is pandigital, but 2⋅40281509761304 = 80563019522608 is not.

Almost surely, 2^{40281509761304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40281509761304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44953940520000).

40281509761304 is an abundant number, since it is smaller than the sum of its proper divisors (49626371278696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40281509761304 is a wasteful number, since it uses less digits than its factorization.

40281509761304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27237 (or 27233 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 40281509761304 in words is "forty trillion, two hundred eighty-one billion, five hundred nine million, seven hundred sixty-one thousand, three hundred four".